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Finding the Third Proportional to 502,571 and 1,083,875

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Solution

The third proportional to 502,571 and 1,083,875 is: 2,337,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,571 : 1,083,875 = 1,083,875 : x
  2. Step 2: Convert to fraction form
    502,571/1,083,875 = 1,083,875/x
  3. Step 3: Cross multiply
    502,571x = 1,083,875 × 1,083,875
  4. Step 4: Simplify right side
    502,571x = 1,174,785,015,625
  5. Step 5: Solve for x
    x = 1,174,785,015,625/502,571
  6. Step 6: Final answer
    x = 2,337,550.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.